131542400000 has 528 divisors, whose sum is σ = 371890509984. Its totient is φ = 46080000000.

The previous prime is 131542399999. The next prime is 131542400023. The reversal of 131542400000 is 4245131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302399950 + ... + 1302400050.

Almost surely, 2^131542400000 is an apocalyptic number.

131542400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185945254992).

131542400000 is an abundant number, since it is smaller than the sum of its proper divisors (240348109984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131542400000 is an equidigital number, since it uses as much as digits as its factorization.

131542400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 131542400000 its reverse (4245131), we get a palindrome (131546645131).

The spelling of 131542400000 in words is "one hundred thirty-one billion, five hundred forty-two million, four hundred thousand".